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Finding the Third Proportional to 387,617,706 and 595,795,149

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Solution

The third proportional to 387,617,706 and 595,795,149 is: 915,778,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,617,706 : 595,795,149 = 595,795,149 : x
  2. Step 2: Convert to fraction form
    387,617,706/595,795,149 = 595,795,149/x
  3. Step 3: Cross multiply
    387,617,706x = 595,795,149 × 595,795,149
  4. Step 4: Simplify right side
    387,617,706x = 354,971,859,571,932,224
  5. Step 5: Solve for x
    x = 354,971,859,571,932,224/387,617,706
  6. Step 6: Final answer
    x = 915,778,237.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.